Question

If x is equal to 27 and y is equal to log 4 to the base 3 then x power y is equal to​

Answer 1

Answer:

64

Step-by-step explanation:

given

x=27

y=log 4 base 3

$x {}^{y} = (27) {}^{ log_{3}(4) }$

$x {}^{y} = (3 {}^{3} ) {}^{ log_{3}(4) } \\ = 3 {}^{ log_{3}(4 {}^{3} ) } \\ = 4 {}^{3} \\ = 64$

therefore

$a {}^{ log_{a}(n) } = n$